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Simplifying -5x + 10 = 6x + 54 Reorder the terms: 10 + -5x = 6x + 54 Reorder the terms: 10 + -5x = 54 + 6x Solving 10 + -5x = 54 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + -5x + -6x = 54 + 6x + -6x Combine like terms: -5x + -6x = -11x 10 + -11x = 54 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -11x = 54 + 0 10 + -11x = 54 Add '-10' to each side of the equation. 10 + -10 + -11x = 54 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = 54 + -10 -11x = 54 + -10 Combine like terms: 54 + -10 = 44 -11x = 44 Divide each side by '-11'. x = -4 Simplifying x = -4
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